11622400279296 has 144 divisors (see below), whose sum is σ = 32159985312000. Its totient is φ = 3721744502784.

The previous prime is 11622400279291. The next prime is 11622400279331. The reversal of 11622400279296 is 69297200422611.

It is not an unprimeable number, because it can be changed into a prime (11622400279291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3120975 + ... + 5743281.

Almost surely, 2^{11622400279296} is an apocalyptic number.

11622400279296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11622400279296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16079992656000).

11622400279296 is an abundant number, since it is smaller than the sum of its proper divisors (20537585032704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11622400279296 is a wasteful number, since it uses less digits than its factorization.

11622400279296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622554 (or 2622540 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 11622400279296 in words is "eleven trillion, six hundred twenty-two billion, four hundred million, two hundred seventy-nine thousand, two hundred ninety-six".